Results 51 to 60 of about 3,577 (203)

Graphical Multiplication Using Straightedge When a Conic Is Given (A Generalization of Möbius’s Observation)

Mathematics
Around 1840, A.F. Möbius discovered a remarkable property of the parabola: the curve drawn in the Cartesian coordinate system can be used to graphically multiply any integers.
Jiří Blažek, Josef Blažek
doaj   +1 more source

Unwrapping a conic section [Elektronisk resurs]

, 2022
To enhance understanding when analysing the intersection between a cone and a plane, it is helpful to have a simple 3-dimensional paper model of the intersection.
Johansson, Tomas,
core  

Tangent lines to a conic section

, 2016
Analytic Geometry, Conic Sections, CurvesSuppose that (x0,y0) is a point on the conic section Ax^2+Bxy+Cy^2+Dx+Ey+F=0. Then the tangent line to the conic section at point (x0,y0) is (2Ax0+by0+D)x+(Bx0+2Cy0+E)y-Axo^2-Bx0y0-Cy0^2+F=0Componente Curricular ...
Martínez, Soledad, Rosa, Felix
core  

Multiple scattering of Bessel beams propagating in advection fog and radiation fog

Frontiers in Physics
The Bessel beams scattering of the fog particles were calculated by using the plane beams angle spectrum expansion method, and the effects of the topological charge and the half-conic angle of the Bessel beam on the differential scattering cross-section ...
Run Chen, Yuanyuan Zhang, Qiang Xu, Yiping Han, Zhensen Wu   +4 more
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AMicro-line CornerCurveInterpolationAlgorithmBasedonConicSectionforHigh-speedMachining

工程科学与技术, 2014
:The issue of smoothing sharp corners between consecutive small line blocks in high-speed machining was discussed.According to the characteristics of the rational quadratic Bézier curve,the vector model of conic section transition was constructed.The ...
doaj  

High-speed multiview imaging approaching 4pi steradians using conic section mirrors: theoretical and practical considerations. [PDF]

J Opt Soc Am A Opt Image Sci Vis, 2021
Zhou KC, Dhalla AH, McNabb RP, Qian R, Farsiu S, Izatt JA.   +5 more
europepmc   +1 more source

Volume-Preserving Shear Transformation of an Elliptical Slant Cone to a Right Cone

Axioms
One nappe of a right circular cone, cut by a transverse plane, splits the cone into an infinite frustum and a cone with an elliptical section of finite volume. There is a standard way of computing this finite volume, which involves finding the parameters
Marco Frego, Cristian Consonni
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Approximation of conic sections by curvature continuous quartic Bézier curves

, 2010
In this paper we propose two approximation methods of conic section by quartic Bézier curves. These are the extensions of the quartic Bézier approximations of circular arcs presented in Ahn and Kim (1997) [1] and Kim and Ahn (2007) [10] to conic cases ...
Ahn, Young Joon, Young Joon Ahn
core   +1 more source

Modeling Orbital Motion in a Circular Conic Reference Frame

, 2022
Two-body orbital trajectories conform to conic sections. However, typically in the literature their motion is analyzed in a plane. Kepler modeled elliptic orbital motion in a plane, stated his second law, and derived the geometric position-time ...
May, Douglas H.
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CLASSIFICATION OF VIEWPOINT INDEPENDENT IMAGE GROUPS

Havacılık ve Uzay Teknolojileri Dergisi, 2013
Classification of image groups has different applications in remote sensing, photogrammetry, digital painting catalogues and security related areas. Researchers from remote sensing, computer vision and photogrammetry have used different approaches based ...
Mustafa Özendi, Alper Yılmaz
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